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Question 10 of 13 1.0 Points A health administration recommends that individuals

ID: 1298668 • Letter: Q

Question

Question 10 of 13 1.0 Points A health administration recommends that individuals consume 1000 mg of calcium daily. After an advertising campaign aimed at male teenagers, a particular dairy association states that male teenagers consume more than the recommended daily amount of calcium. To support this statement, the association obtained a random sample of 50 male teenagers and found that the mean amount of calcium consumed was 1082 mg, with a standard deviation of 427 mg. Is there significant evidence to support the statement of the association at the ? = 0.05 level of significance? (Hint: Use the closest critical value from the appropriate table.) A. Reject H0 since the test statistic is not greater than the critical value. B. Do not reject H0 since the test statistic is not greater than the critical value. C. Reject H0 since the test statistic is greater than the critical value. D. Do not reject H0 since the test statistic is greater than the critical value. Reset Selection

Mark for Review What's This? Question 11 of 13 1.0 Points The head of institutional research at a university believed that the mean age of full-time students was declining. In 1995?the mean age of a full-time student was known to be 27.4 years. After looking at the enrollment records of all 4934 full-time students in the current semester, he found that the mean age was 27.1 years, with a standard deviation of 7.3 years. He conducted a hypothesis of H0: ? = 27.4 years versus H1: ? < 27.4 years and obtained a P-value of 0.0020. He concluded that the mean age of full-time students did decline. Is there anything wrong with his research? A. Yes, the head of institutional research has access to the entire population, inference is unnecessary. He can say with 100% confidence that the mean age has decreased. B. No, the hypothesis test was conducted correctly, and the correct conclusion was made. C. Yes, a P-value only indicates the likelihood of getting a result as extreme or more extreme as the one found, the head of institutional research needs to include a confidence level. D. Yes, the head of institutional research stated the hypotheses incorrectly; a left-tailed hypothesis test was conducted instead of a two-tailed test. Reset Selection

Mark for Review What's This? Question 12 of 13 1.0 Points Suppose the mean wait-time for a telephone reservation agent at a large airline is 40 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 39.2 seconds with a standard deviation of 4.3 seconds. Using ? = 0.05 level of significance, do you believe the new policies were effective in reducing wait time using the P-value approach? (Hint: Use the closest relevant values from the appropriate table.) A. Reject H0 because the P-value is greater than the ? = 0.05 level of significance. B. Reject H0 because the P-value is less than the ? = 0.05 level of significance. C. Do not reject H0 because the P-value is less than the ? = 0.05 level of significance. D. Do not reject H0 because the P-value is greater than the ? = 0.05 level of significance. Reset Selection

Mark for Review What's This? Question 13 of 13 1.0 Points Referring to the information in question 12, do the results seem to have any practical significance? What do you think? A. Yes, because the test concluded that there is a significant difference between the two mean wait-times. Therefore, there is a practical significance. B. No, because while there is significant evidence that shows the new policies were effective in lowering the mean wait-time of customers, the difference between the previous mean wait-time and the new mean wait-time is not large enough to be considered important. C. Yes, because while there is no significant evidence that shows the new policies were effective in lowering the mean wait-time of customers, the difference between the previous mean wait-time and the new mean wait-time is large enough to be considered important. D. No, because the test concluded that there is no significant difference between the two mean wait-times. Therefore, there is no practical significance. Question 10 of 13 1.0 Points A health administration recommends that individuals consume 1000 mg of calcium daily. After an advertising campaign aimed at male teenagers, a particular dairy association states that male teenagers consume more than the recommended daily amount of calcium. To support this statement, the association obtained a random sample of 50 male teenagers and found that the mean amount of calcium consumed was 1082 mg, with a standard deviation of 427 mg. Is there significant evidence to support the statement of the association at the ? = 0.05 level of significance? (Hint: Use the closest critical value from the appropriate table.) A. Reject H0 since the test statistic is not greater than the critical value. B. Do not reject H0 since the test statistic is not greater than the critical value. C. Reject H0 since the test statistic is greater than the critical value. D. Do not reject H0 since the test statistic is greater than the critical value. Reset Selection

Mark for Review What's This? Question 11 of 13 1.0 Points The head of institutional research at a university believed that the mean age of full-time students was declining. In 1995?the mean age of a full-time student was known to be 27.4 years. After looking at the enrollment records of all 4934 full-time students in the current semester, he found that the mean age was 27.1 years, with a standard deviation of 7.3 years. He conducted a hypothesis of H0: ? = 27.4 years versus H1: ? < 27.4 years and obtained a P-value of 0.0020. He concluded that the mean age of full-time students did decline. Is there anything wrong with his research? A. Yes, the head of institutional research has access to the entire population, inference is unnecessary. He can say with 100% confidence that the mean age has decreased. B. No, the hypothesis test was conducted correctly, and the correct conclusion was made. C. Yes, a P-value only indicates the likelihood of getting a result as extreme or more extreme as the one found, the head of institutional research needs to include a confidence level. D. Yes, the head of institutional research stated the hypotheses incorrectly; a left-tailed hypothesis test was conducted instead of a two-tailed test. Reset Selection

Mark for Review What's This? Question 12 of 13 1.0 Points Suppose the mean wait-time for a telephone reservation agent at a large airline is 40 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 39.2 seconds with a standard deviation of 4.3 seconds. Using ? = 0.05 level of significance, do you believe the new policies were effective in reducing wait time using the P-value approach? (Hint: Use the closest relevant values from the appropriate table.) A. Reject H0 because the P-value is greater than the ? = 0.05 level of significance. B. Reject H0 because the P-value is less than the ? = 0.05 level of significance. C. Do not reject H0 because the P-value is less than the ? = 0.05 level of significance. D. Do not reject H0 because the P-value is greater than the ? = 0.05 level of significance. Reset Selection

Mark for Review What's This? Question 13 of 13 1.0 Points Referring to the information in question 12, do the results seem to have any practical significance? What do you think? A. Yes, because the test concluded that there is a significant difference between the two mean wait-times. Therefore, there is a practical significance. B. No, because while there is significant evidence that shows the new policies were effective in lowering the mean wait-time of customers, the difference between the previous mean wait-time and the new mean wait-time is not large enough to be considered important. C. Yes, because while there is no significant evidence that shows the new policies were effective in lowering the mean wait-time of customers, the difference between the previous mean wait-time and the new mean wait-time is large enough to be considered important. D. No, because the test concluded that there is no significant difference between the two mean wait-times. Therefore, there is no practical significance.

Explanation / Answer

D

B
C
A

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